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10:04 Finite-Rank Perturbation Theory and Applications,… Finite-Rank Perturbation Theory and Applications, Michael Bush	Finite-Rank Perturbation Theory and Applications, Michael Bush Perturbation theory deals with tracking how the properties of a mathematical object evolve as input parameters are varied. The main usage of the tools of perturbation theory in application is to… mathematical sciences [email protected] perturbation operators spaces of functions differential equation string conditions eigenvalues talk apple sort piece eigenfunctions object operator box function rank perturbations particle equation functions pictures eigenvalue From Lauren Mosesso 0 likes 9 plays 0 Department Name Mathematical Sciences
11:30 IV. 1-2 Structure of 2nd-order equations IV. 1-2 Structure of 2nd-order equations	IV. 1-2 Structure of 2nd-order equations differential equation problem solution times linear x2 prime t. function form constants problems equations q. thing equation u. reduction definition operator functions From Tobin Driscoll 0 likes 98 plays 0
11:45 III.5 Laplace solution of IVPs III.5 Laplace solution of IVPs	III.5 Laplace solution of IVPs laplace transform transform capital function times t. transfer s. solution sides impulse term fraction response f. rest delta condition operator thing quarter From Tobin Driscoll 0 likes 140 plays 0
08:53 III.4 Laplace transform III.4 Laplace transform	III.4 Laplace transform laplace transform transform capital function laplace limit side x. infinity step functions minus inverse t. s. operator result impulse f. table antiderivatives From Tobin Driscoll 0 likes 116 plays 0
04:29 II.4 Operators II.4 Operators	II.4 Operators differential equations solution linear ode function functions times problem side sum equation xp hand systems operators numbers operator t. sections things b. From Tobin Driscoll 0 likes 110 plays 0
14:44 Grad, curl and divergence - II Grad, curl and divergence - II	Grad, curl and divergence - II 11995 form dx gradient divergence omega d. connection generalizations operation vector forms thing dc field differential f. divergent swaps curl operator From Rakesh Rakesh 0 likes 4 plays 0
03:48 Section 2.7 Section 2.7	Section 2.7 julia matrix norm points circle column times row unit 2-norm operator maximum infinity elements ellipsoid ellipse sums formula interpretation op sum From Tobin Driscoll 0 likes 3 plays 0
39:54 Regularity up to the boundary II Regularity up to the boundary II	Regularity up to the boundary II 11995 problem regularity boundary thing solution estimate operator directions point l2 argument extension times ui proposition side derivatives issue direction variables From Rakesh Rakesh 0 likes 3 plays 0
01:20:23 Regularity up to the boundary I Regularity up to the boundary I	Regularity up to the boundary I 11995 times transpose phi solution variables change things functions operator delta tilde proof norm psi matrix derivatives determinant thing l2 boundary From Rakesh Rakesh 0 likes 2 plays 0
01:07:00 Interior regularity II Interior regularity II	Interior regularity II 11995 times chi term side square quotient hand minus difference thing l2 norm things operator u. w2 w1 derivative regularity grad From Rakesh Rakesh 0 likes 2 plays 0
53:34 Interior regularity I Interior regularity I	Interior regularity I 11995 term solution times thing side difference quotient derivatives square hand estimate norm definition spectrum operator form c1 u. lambda trick From Rakesh Rakesh 0 likes 5 plays 0
45:40 Boundedness of solution operator for elliptic BVP Boundedness of solution operator for elliptic BVP	Boundedness of solution operator for elliptic BVP 11995 lambda alpha solution norm spectrum sequence l2 thing problem things operator definition fact lemma point convergence contradiction linear question solutions From Rakesh Rakesh 0 likes 4 plays 0
34:57 The Fredholm alterntative for elliptic BVP The Fredholm alterntative for elliptic BVP	The Fredholm alterntative for elliptic BVP 11995 lambda spectrum solution range sigma solutions space operator question things theorem spaces nullspace star minus ranges eigenvalues alpha sense eigenvalue From Rakesh Rakesh 0 likes 5 plays 0
01:09:08 The spectrum of elliptic operators The spectrum of elliptic operators	The spectrum of elliptic operators 11995 lambda spectrum alpha solution operator star sigma l2 space problem thing sequence theorem range things alright linear minus eigenvalue eigenvalues From Rakesh Rakesh 0 likes 10 plays 0
27:05 The adjoint BVP II The adjoint BVP II	The adjoint BVP II 11995 alpha operator solution problem l2 star lambda comma adjoint linear things spectrum relation operators connection eigenvalues boundary ad problems relations From Rakesh Rakesh 0 likes 3 plays 0
32:26 The adjoint BVP I The adjoint BVP I	The adjoint BVP I 11995 star solution lambda alpha problem times linear definition operator thing bi adjoint form relation integration parts u. l2 minus functions From Rakesh Rakesh 0 likes 9 plays 0